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Finding the Fourth Proportional to 1,727.55, 2,385.99 and 1,140.71

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Solution

The fourth proportional to 1,727.55, 2,385.99 and 1,140.71 is: 1,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.55 : 2,385.99 = 1,140.71 : x
  2. Step 2: Convert to fraction form
    1,727.55/2,385.99 = 1,140.71/x
  3. Step 3: Cross multiply
    1,727.55x = 2,385.99 × 1,140.71
  4. Step 4: Simplify right side
    1,727.55x = 2,721,710.72
  5. Step 5: Solve for x
    x = 2,721,710.72/1,727.55
  6. Step 6: Final answer
    x = 1,575.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.